Question

Which table below represents a function?(1 point) Responses x y -2 5 0 5 2 5 4 5 x y -2 5 0 5 2 5 4 5 x y 5 0 3 3 3 1 8 7 x y 5 0 3 3 3 1 8 7 x y 5 1 -1 0 6 8 5 7 x y 5 1 -1 0 6 8 5 7 x y 2 1 2 6 2 8 2 9

Answer 1

To determine whether a table represents a function, we need to check if each input value (x) corresponds to exactly one output value (y). In other words, for every x, there should only be one unique y.

Let's analyze the tables provided:

1. **Table 1:**
```
x y
-2 5
0 5
2 5
4 5
```
- All x values are unique. Each x maps to a single y value of 5. This table represents a function.

2. **Table 2:**
```
x y
-2 5
0 5
2 5
4 5
```
- This is identical to Table 1, thus it also represents a function.

3. **Table 3:**
```
x y
5 0
3 3
3 1
8 7
```
- The value x = 3 corresponds to two different y values (3 and 1). This does not represent a function.

4. **Table 4:**
```
x y
5 0
3 3
3 1
8 7
```
- This is identical to Table 3, hence it does not represent a function.

5. **Table 5:**
```
x y
5 1
-1 0
6 8
5 7
```
- The value x = 5 corresponds to two different y values (1 and 7). This does not represent a function.

6. **Table 6:**
```
x y
5 1
-1 0
6 8
5 7
```
- This is identical to Table 5, hence it does not represent a function.

7. **Table 7:**
```
x y
2 1
2 6
2 8
2 9
```
- The value x = 2 corresponds to four different y values (1, 6, 8, and 9). This does not represent a function.

Based on this analysis, the tables that represent a function are:

- Table 1
- Table 2

All other tables do not represent a function because they have repeated x values corresponding to different y values.